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Finding the Fourth Proportional to 72,703.68, 109,052.43 and 22,782.67

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Solution

The fourth proportional to 72,703.68, 109,052.43 and 22,782.67 is: 34,173.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,703.68 : 109,052.43 = 22,782.67 : x
  2. Step 2: Convert to fraction form
    72,703.68/109,052.43 = 22,782.67/x
  3. Step 3: Cross multiply
    72,703.68x = 109,052.43 × 22,782.67
  4. Step 4: Simplify right side
    72,703.68x = 2,484,505,167.32
  5. Step 5: Solve for x
    x = 2,484,505,167.32/72,703.68
  6. Step 6: Final answer
    x = 34,173.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.